If the slope of one of the lines given by K x^2+6 x y+y^2=0 is three times the order, then the value of K is

Step-by-step solution

- Given equation of pair of lines is array ll & K x^2+6 x y+y^2=0 & A=K, H=3, B=1 array Let the slopes of the lines be m₁ and m₂m₁+m₂= -2 H B and m₁ m₂= A B Given that m ₂=3 ~m ₁ m₁+3 m₁= -2 H B =-6 m₁= -3 2 and m₁ 3 m₁= A B =K 3 m₁^2=K K= 27 4